Derivative of sin(x)

Step-by-step solution

1. 1Derivative of sin
   $$\frac{d}{dx}\left[\sin \left(x\right)\right]=\cos \left(x\right)$$

   The derivative of $\sin (x)$ is $\cos (x)$ — a standard rule.

2. ✓Final Answer
   $$\frac{d}{dx}\left[\sin \left(x\right)\right]=\cos \left(x\right)$$

   The first derivative simplifies to $\cos \left(x\right)$.